For the circuit shown in figure. Which of the following statements is true?

For the circuit shown in figure. Which of the following statements is true?
  1. With \(\mathrm{S}_{1}\) closed, \(\mathrm{V}_{1}=15 \mathrm{~V}, \mathrm{~V}_{2}=20 \mathrm{~V}\)
  2. With \(\mathrm{S}_{1}\) closed, \(\mathrm{V}_{1}=\mathrm{V}_{2}=25 \mathrm{~V}\)
  3. With \(\mathrm{S}_{1}\) and \(\mathrm{S}_{2}\) closed \(\mathrm{V}_{1}=\mathrm{V}_{2}=0\)
  4. with \(\mathrm{S}_{1}\) and \(\mathrm{S}_{3}\) closed \(\mathrm{V}_{1}=30 \mathrm{~V}\) and \(\mathrm{V}_{2}=20 \mathrm{~V}\)

Solution

When \(S_1\) is closed \(V_1=30 \mathrm{~V}, V_2=20 \mathrm{~V}\) When \(S_3\) is closed \(V_1=30 \mathrm{~V}, V_2=20 \mathrm{~V}\) When \(S_1\) and \(S_2\) are closed \(V_1=30 \mathrm{~V}, V_2=20 \mathrm{~V}\) When \(S_1\) and \(S_3\) are closed \(V_1=30 \mathrm{~V}, V_2=20 \mathrm{~V}\) When \(S_1, S_2\) and \(S_3\) are closed, \(V_1+V_2=0 V\), \(\Rightarrow V_1=0, V_2=0 \mathrm{~V}\)

Asked in: JEE Mains - Capacitance - Chapter Test

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